Theme Essential Question: How can you use formulas and geometry to solve real-world and mathematical problems?
Essential Questions: How do you use the concept of nets to find surface area of prisms?
Standards:
7.G. 6 Solve real-world and mathermatical problems involving area, volume, and surface area of two-and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms
Objectives:
The student will solve real-world and mathematical problems involving surface area of prisms.
Background: Recommended: For a quick overview of the standard(s) to be addressed in this Unit, see Arizona’s Content Standards Reference Materials at**http://www.azed.gov/educator-certification/**
Taken from Ohio Dept of Education Mathematics Model Curriculum 6-28-2022
Real-world and mathematical multi-step problems that require finding area, perimeter, volume, surface area of figures composed of triangles, quadrilaterals, polygons, cubes and right prisms should reflect situations relevant to seventh graders. The computations should make use of formulas and involve whole numbers, fractions, decimals, ratios and various units of measure with same system conversions.
Assessment: Product: ZOO TRAINER project continues: The stable, feed storage area, and its flat ceiling is to be stained with a special stain.
Determine the surface area to be stained. Prepare detail documentation of your calculations.
Each can of stain covers 200⅔ square feet. How many can should be ordered? Prepare detail documentation of your calculations.
Key Questions
What is a net?
How do net help with determining surface area?
Observable Student Behaviors (Performance)
The student can find surface area of prisms.
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Vocabulary:
Math
Area Lateral Surface Area Total Surface Area
Suggested Activities:
Houghton Mifflin OnCore Mathematics Middle School Grade 7
Unit 5-4, p. 123-126
ABC Mastering the Common Core in Mathematics
Chapter 13.7, Surface Area of cubes and rectangular prisms, p 167-168
Chapter 13.8, Surface area of other prisms, p. 169
Chapter 13.9, Surface area of pyramids, p. 170
Chapter area of composite figures, p. 171
Gizmo Correlation: None available at this time.
Teaching the Common Core Math Standards with Hands-On Activities,
7.G.6 See Lesson 5-1
Highly Recommended: See Lesson 5-1
The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions.
JBHM 7th, GP 3, p. 191-212
JBHM 8th, GP 1, p. 299-324
Glencoe 7th Grade Mathematics Application and Concepts Course 2, Chapter 12-4, p. 532-535
Mathematics in Children's Literature:Many children's books include math concepts and can be used to help teach them in a fun way. This website includes several annontated Lists of Children's Literature including the math concepts and grade levels.
The teaching Channel currently offers videos of K-12 mathematics teaching aligned with the Common Core Sate Standards, which would be perfect for professional development with teacher teams.
Students will practice finding the Circumference, Volume, and Surface Area of given shapes/figures
7.G. 6 Surface Area of Prisms
This lesson will help the students with the formula for lateral area of a prism
7.G. 6 Should I Cover It Up…Or Go Around It?
While looking at geometric shapes in sports, students wll determine whether to find the area or the perimeter for each problem set before them. I have included a football field and a basketball court for challenges. Some sildes require more higher level of learning and more challenging Bloom's Taxonomy questions.
7.G. 6 Measurement Part 1: Area
This lesson activity provides introduces and provides practice in calculating the area of various shapes.
Interactivate is a set of free, online courseware for exploration in science and mathematics. It is comprised of activities, lessons, and discussions. The site is structured around collections of activities, lessons, and discussions.
Content: Solving Surface Area Problems
Dates: 2/25 – 3/1
Theme Essential Question:
How can you use formulas and geometry to solve real-world and mathematical problems?
Essential Questions:
How do you use the concept of nets to find surface area of prisms?
Standards:
Objectives:
Background:
Recommended: For a quick overview of the standard(s) to be addressed in this Unit, see Arizona’s Content Standards Reference Materials at**http://www.azed.gov/educator-certification/**
Taken from Ohio Dept of Education Mathematics Model Curriculum 6-28-2022
Real-world and mathematical multi-step problems that require finding area, perimeter, volume, surface area of figures composed of triangles, quadrilaterals, polygons, cubes and right prisms should reflect situations relevant to seventh graders. The computations should make use of formulas and involve whole numbers, fractions, decimals, ratios and various units of measure with same system conversions.
Assessment:
Product:
ZOO TRAINER project continues:
The stable, feed storage area, and its flat ceiling is to be stained with a special stain.
Key Questions
Observable Student Behaviors (Performance)
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Vocabulary:
Suggested Activities:
- Houghton Mifflin OnCore Mathematics Middle School Grade 7
- Unit 5-4, p. 123-126
- ABC Mastering the Common Core in Mathematics
- Chapter 13.7, Surface Area of cubes and rectangular prisms, p 167-168
- Chapter 13.8, Surface area of other prisms, p. 169
- Chapter 13.9, Surface area of pyramids, p. 170
- Chapter area of composite figures, p. 171
- Gizmo Correlation: None available at this time.
- Teaching the Common Core Math Standards with Hands-On Activities,
- 7.G.6 See Lesson 5-1
- Highly Recommended: See Lesson 5-1
The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions.- JBHM 7th, GP 3, p. 191-212
- JBHM 8th, GP 1, p. 299-324
- Glencoe 7th Grade Mathematics Application and Concepts Course 2, Chapter 12-4, p. 532-535
- Glencoe Pre-Algebra, Chapter 11-4, p. 573-535
- Glencoe Algebra I, Chapter 3-1, p. 122
Chapter 8, p. 416- Create a puzzle with unit vocabulary words.
http://www.discoveryeducation.com/free-puzzlemaker/?CFID=1276695&CFTOKEN=75709576Diverse Learners
Homework: (Teachers Discretion)
Terminology for Teachers:
Ethnicity/Culture | Immigration/Migration | Intercultural Competence | Socialization | Racism/Discrimination
High Yield Strategies
Similarities/Differences | Summarizing/Notetaking| Reinforcing/Recognition| Homework/Practice |
Non-Linguistic representation| Cooperative Learning | Objectives/Feedback |
Generating-Testing Hypothesis | Cues, Questions, Organizers
Resources:
Professional Texts:
Literary Texts
- Geometry and Literature Titles:
http://sci.tamucc.edu/~eyoung/geometry_literature.html- Measurement and children'e Literature/Ratios
http://sci.tamucc.edu/~eyoung/measure_literature.html- Mathematics in Children's Literature:Many children's books include math concepts and can be used to help teach them in a fun way. This website includes several annontated Lists of Children's Literature including the math concepts and grade levels.
Click on the following link, http://libguides.nl.edu/mathinchildrenslit, then look under Math and Literature Bibliographies.- Middle & High School: Literature in Mathematics
Many books include websites with lesson ideas.http://sci.tamucc.edu/~eyoung/middle_school_literature.html
- Lesson Plans for Using Literature in Middle and High School Mathematics (developed by Leonor and edited by Elaine)
http://sci.tamucc.edu/~eyoung/Literature%20webpages/Leonor/index.html- Miscellaneous Math and Children's Literature
http://sci.tamucc.edu/~eyoung/literature.htmlInformational Texts
Art, Music, and Media
Manipulatives:
Games
Videos
SMART Board Lessons, Promethean Lessons
- 7.G. 6 Circumference, Volume, Surface Area
Students will practice finding the Circumference, Volume, and Surface Area of given shapes/figures- 7.G. 6 Surface Area of Prisms
This lesson will help the students with the formula for lateral area of a prism- 7.G. 6 Should I Cover It Up…Or Go Around It?
While looking at geometric shapes in sports, students wll determine whether to find the area or the perimeter for each problem set before them. I have included a football field and a basketball court for challenges. Some sildes require more higher level of learning and more challenging Bloom's Taxonomy questions.- 7.G. 6 Measurement Part 1: Area
This lesson activity provides introduces and provides practice in calculating the area of various shapes.- Smart Board rational number lessons
http://exchange.smarttech.com/details.html?id=1764f052-3804-448f-9f12-95bc5646a2ea- Rational numbers Smart Board lessons
http://exchange.smarttech.com/details.html?id=050e54ad-0dea-4080-ae54-975d93487209Other Activities, etc.
- Puzzle Maker
- http://www.discoveryeducation.com/free-puzzlemaker/?CFID=1276695&CFTOKEN=75709576
- Interactivate is a set of free, online courseware for exploration in science and mathematics. It is comprised of activities, lessons, and discussions. The site is structured around collections of activities, lessons, and discussions.
http://www.shodor.org/interactivate/guide/Activities and tools:
http://www.shodor.org/interactivate/activities/
Language
Arts
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
7 Matrix
Accelerated 7
Matrix
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Home K-2
Home 3-6
Home 6-8
Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6